IMO Level 1- Mathematics Olympiad (SOF) Class 10: Questions 777 - 780 of 968

Access detailed explanations (illustrated with images and videos) to 968 questions. Access all new questions we will add tracking exam-pattern and syllabus changes. Subscription can be renewed yearly absolutely FREE! View Sample Explanation or View Features.

Rs. 450.00 or

How to register?

Question number: 777

» Area, Surface Area & Volume

Edit
Data Sufficieny▾

Question

What is the total surface area of the cone?

Statements

  1. The area of the base of the cone is

  2. The curved surface area of the cone is

  3. The volume of the cone is

Choices

Choice (4) Response

a.

Either one of the statements is sufficient.

b.

Either statement Ⅱ or statement Ⅲ is sufficient & only statement Ⅰ is sufficient, while others are not sufficient.

c.

All of the statements are sufficient.

d.

Both statement Ⅰ & statement Ⅲ are sufficient.

Question number: 778

» Area, Surface Area & Volume

Edit
MCQ▾

Question

A bucket is in the form of a frustum of a cone, its depth is and the diameters of the top and the bottom are and respectively. Find how many liters the bucket can hold.

Choices

Choice (4) Response

a.

b.

c.

d.

Question number: 779

» Area, Surface Area & Volume

Edit
MCQ▾

Question

The number of solid spheres, each of diameter that could be moulded to form a solid metal cylinder of height and diameter is________.

Choices

Choice (4) Response

a.

4.64

b.

3.55

c.

6.45

d.

5.22

Question number: 780

» Triangle, Circle & Constructions

Edit
MCQ▾

Question

CD subtends at the center of the semi-circle. The sides SR and RT of a triangle RST meet the semicircle in C and D respectively. ST is the diameter of a semicircle. The is ________.

Triangle poly1 Triangle poly1: Polygon P, Q, R Triangle poly2 Triangle poly2: Polygon A, O, B Arc d Arc d: Semicircle through Q and R Angle? Angle? : Angle between A, O, B Angle? Angle? : Angle between A, O, B Angle? Angle? : Angle between A, O, B Angle? Angle? : Angle between A, Q, O Angle? Angle? : Angle between A, Q, O Angle? Angle? : Angle between A, Q, O Angle? Angle? : Angle between Q, A, O Angle? Angle? : Angle between Q, A, O Angle? Angle? : Angle between Q, A, O Angle? Angle? : Angle between B, R, O Angle? Angle? : Angle between B, R, O Angle? Angle? : Angle between B, R, O Angle? Angle? : Angle between O, B, R Angle? Angle? : Angle between O, B, R Angle? Angle? : Angle between O, B, R Segment c Segment c: Segment [P, Q] of Triangle poly1 Segment b Segment b: Segment [R, P] of Triangle poly1 Segment b_1 Segment b_1: Segment [A, O] of Triangle poly2 Segment b_1 Segment b_1: Segment [A, O] of Triangle poly2 Segment a_1 Segment a_1: Segment [O, B] of Triangle poly2 Segment a_1 Segment a_1: Segment [O, B] of Triangle poly2 Segment c_1 Segment c_1: Segment [B, A] of Triangle poly2 Segment f Segment f: Segment [C, D] Segment f Segment f: Segment [C, D] Segment g Segment g: Segment [F, G] Segment g Segment g: Segment [F, G] R text1 = “R” C text8 = “C” S text2 = “S” O text4 = “O” T text3 = “T” D text6 = “D”

Triangle and Semicircle

The sides SR and RT of a triangle RST meet the semicircle in C and D respectively. ST is the diameter of a semicircle. CD subtends 100 (degree) at the center of the semi-circle

Choices

Choice (4) Response

a.

b.

c.

d.